Well-posedness of the Maxwell equations with nonlinear Ohm law
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866913757761896448 |
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| author | Griepentrog, Jens A. Naumann, Joachim |
| author_facet | Griepentrog, Jens A. Naumann, Joachim |
| contents | This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equality that holds for any weak solution (e,h). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_03019 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Well-posedness of the Maxwell equations with nonlinear Ohm law Griepentrog, Jens A. Naumann, Joachim Analysis of PDEs 35A01, 35A02, 35B45, 35Q61 This paper is concerned with weak solutions (e,h) in L^2 x L^2 of the Maxwell equations with nonlinear Ohm law and under perfect conductor boundary conditions. These solutions are defined in terms of integral identities with appropriate test functions. The main result of our paper is an energy equality that holds for any weak solution (e,h). |
| title | Well-posedness of the Maxwell equations with nonlinear Ohm law |
| topic | Analysis of PDEs 35A01, 35A02, 35B45, 35Q61 |
| url | https://arxiv.org/abs/2208.03019 |